On the Stability of the Finite-Difference Time-Domain Modeling of Lorentz Media

Author

Panaretos, Anastasios H. ; Díaz, Rodolfo E.

Author_Institution

Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA

Volume

21

Issue

6

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

283

Lastpage

285

Abstract

The stability analysis is presented for the finite-difference time-domain modeling of a Lorentz dielectric. In particular this study is focused on the Young scheme that employs the polarizability and the polarization current for the representation of the Lorentz permittivity, and collocates temporally the magnetic field with the polarization current. The Routh criterion is employed for the stability limit determination. The necessary conditions that ensure stability are thoroughly derived for the general as well as for limiting cases.

Keywords

Routh methods; dielectric materials; finite difference time-domain analysis; magnetic fields; permittivity; polarisation; Lorentz dielectric; Lorentz media; Lorentz permittivity; Routh criterion; Young scheme; finite-difference time-domain modeling; magnetic field; polarization current; stability analysis; Finite difference methods; Mathematical model; Numerical stability; Polynomials; Stability criteria; Time domain analysis; Finite-difference time-domain (FDTD) method; Lorentz dielectric; Young scheme; stability;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2011.2136374

Filename

5767523